Answer:
a) periodic (N = 1)
b) not periodic
c) not periodic
d) periodic (N = 8)
e) periodic (N = 16)
Explanation:
For function to be a periodic: f(n) = f(n+N)
It is periodic with fundamental period N = 1
N must be integer. So it is nor periodic
Since N is dependent to n. So it is not periodic.
So it is periodic with fundamental period N = 8.
So it is periodic with N = 16.
Answer:
answer is given below
Explanation:
Central Limit Theorem: The Central Limit Theorem (CLT) is a statistical theory that gives a sufficiently large sample size with limited variations from the population, the average of all samples from the same population is approximately the same. . In addition, all models follow a nearly normal distribution model.
The given phenomenon is described in the central limit theory. In other words, if we repeatedly take independent random samples of size n from any population, when n is large, the sample distribution is the normal distribution pattern.
mean of the sample means
.............1
and here standard deviation of the sample means is
.........2
and This theory is found elsewhere in the field of statistics. Although the central limit theory may seem abstract and devoid of any application, this theory is actually important for statistical practice.